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If 0 < x < y < 10, then A(x, y) represents the area of the r

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If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink] New post 27 Nov 2019, 11:22
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61% (01:45) correct 38% (00:36) wrong based on 26 sessions
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#greprepclub If 0  x  y  10, then A(x, y) represents the area .jpg
#greprepclub If 0 x y 10, then A(x, y) represents the area .jpg [ 20.03 KiB | Viewed 343 times ]



If \(0 < x < y < 10\), then \(A(x, y)\) represents the area of the region bounded by the number line, the semi-circle, and the vertical segments at \(x\) and \(y\), as indicated by the shaded region.


\(0 < a < b < c < 10 \)

Quantity A
Quantity B
\(A(a, b) + A(b, c)\)
\(A(a, c)\)




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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[Reveal] Spoiler: OA

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Re: If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink] New post 14 Jan 2020, 07:29
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Refer attached figure

A(a,b) is Area of the shaded region in blue + A(b,c) is the area of the shaded region in green
Clearly sum of these two is equal to the area of the shaded region in red = A(a,c)
So, both quantities are equal.
So, Answer is C
Hope it helps!
Carcass wrote:
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The attachment #greprepclub If 0 x y 10, then A(x, y) represents the area .jpg is no longer available



If \(0 < x < y < 10\), then \(A(x, y)\) represents the area of the region bounded by the number line, the semi-circle, and the vertical segments at \(x\) and \(y\), as indicated by the shaded region.


\(0 < a < b < c < 10 \)

Quantity A
Quantity B
\(A(a, b) + A(b, c)\)
\(A(a, c)\)




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation

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File comment: Image
i-1.jpg
i-1.jpg [ 92.73 KiB | Viewed 73 times ]


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Re: If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink] New post 15 Jan 2020, 02:49
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If you visualize the question in your mind then: A(a,b)+A(b,c)= area between a and c
A(a,c)= area between a and c

So the answer is C.
Re: If 0 < x < y < 10, then A(x, y) represents the area of the r   [#permalink] 15 Jan 2020, 02:49
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